Yes, this is definitely possible and valid (and actually
most of the times even necessary). Basically, you can have an arbitrary number
of them, as long as you put all of them into the head section of your website.
Additionally you should watch out not to have multiple meta elements for the
same concern.

Please note that for full XHTML compliance your second meta
is missing the closing /. It should be:

<meta http-equiv="X-UA-Compatible"
content="IE=edge,chrome=1" />

So your final code might be:

<meta http-equiv="Pragma"
content="no-cache" />

<meta http-equiv="X-UA-Compatible"
content="IE=edge,chrome=1" />

Please note as well, that the order of the meta elements is
not completely arbitrary, or at least there are some elements where you should
pay attention to the order.

E.g., the meta element that defines the encoding should be
as far at the beginning as possible, since the browser will start re-rendering
the website as soon as it approaches this element.